Treat the sphere as a solid non-conducting sphere of radius R=6000 km with unifo

Question

Treat the sphere as a solid non-conducting sphere of radius R=6000 km with uniform charge Q=4000 C. The sphere has a conducting spherical shell. The shell has inner radius r1= 6005 km, outer radius r2= 6010 km and zero net charge. Assume gravity is negligible for all parts of this problem.

a) find the electric potential V(r) for all values of r. Leave the answer in terms of R and Q. Let v(0)=0 Hint 1: you're free to redefine your reference point for V as you work through the different regions: use this to your advantage. Hint 2: V(r) will be continuous.

b) sketch the graph V(r) with respect to r. Be sure to label R, r1 and r2 on the graph.

Explanation / Answer

a) for r>6010. V=kQ/r. for 6005

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